Variance of Sum of Independent Random Variables Calculator

Math Chemistry Engineering Financial More >>

↳

Statistics Algebra Arithmetic Combinatorics More >>

⤿

Measures of Dispersion Basic Formulas in Statistics Coefficients, Proportion and Regression Errors, Sum of Squares, Degrees of Freedom and Hypothesis Testing More >>

⤿

Variance Quartile Deviation Standard Deviation

✖Variance of Random Variable X is the measure of variability or dispersion of random variable X.ⓘ Variance of Random Variable X [σ²Random X]			+10% -10%
✖Variance of Random Variable Y is the measure of variability or dispersion of random variable Y.ⓘ Variance of Random Variable Y [σ²Random Y]			+10% -10%

✖Variance of Sum of Independent Random Variables is the variance calculated when two or more independent random variables are added together.ⓘ Variance of Sum of Independent Random Variables [σ²Sum]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Measures of Dispersion Formulas PDF PDF Image

Variance of Sum of Independent Random Variables Solution

STEP 0: Pre-Calculation Summary

Formula Used

Variance of Sum of Independent Random Variables = Variance of Random Variable X+Variance of Random Variable Y
σ²Sum = σ²Random X+σ²Random Y
This formula uses 3 Variables

Variables Used

Variance of Sum of Independent Random Variables - Variance of Sum of Independent Random Variables is the variance calculated when two or more independent random variables are added together.
Variance of Random Variable X - Variance of Random Variable X is the measure of variability or dispersion of random variable X.
Variance of Random Variable Y - Variance of Random Variable Y is the measure of variability or dispersion of random variable Y.

STEP 1: Convert Input(s) to Base Unit

Variance of Random Variable X: 9 --> No Conversion Required
Variance of Random Variable Y: 16 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ²Sum = σ²Random X+σ²Random Y --> 9+16

Evaluating ... ...

σ²Sum = 25

STEP 3: Convert Result to Output's Unit

25 --> No Conversion Required

FINAL ANSWER

25 <-- Variance of Sum of Independent Random Variables

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Statistics » Measures of Dispersion » Variance » Variance of Sum of Independent Random Variables

Credits

Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 300+ more calculators!

< Variance Calculators

Variance of Data

LaTeX Go Variance of Data = (Sum of Squares of Individual Values/Number of Individual Values)-(Mean of Data^2)

Variance of Sum of Independent Random Variables

LaTeX Go Variance of Sum of Independent Random Variables = Variance of Random Variable X+Variance of Random Variable Y

Variance of Scalar Multiple of Random Variable

LaTeX Go Variance of Scalar Multiple of Random Variable = (Scalar Value c^2)*Variance of Random Variable X

Variance given Standard Deviation

LaTeX Go Variance of Data = (Standard Deviation of Data)^2

Variance of Sum of Independent Random Variables Formula

LaTeX Go

Variance of Sum of Independent Random Variables = Variance of Random Variable X+Variance of Random Variable Y
σ²Sum = σ²Random X+σ²Random Y

What is Variance and the importance of Variance in Statistics?

Variance is a statistical tool used to analyze a statistical data. The word Variance is actually derived from the word variety that in terms of statistics means the difference among various scores and readings. Basically it is the expectation of the squared deviation of the associated random variable from its population mean or sample mean. Variance ensures accuracy as more Variance is considered good as compared to the low Variance or absolutely absence of any Variance. Variance in statistics is important as in a measurement it allows us to measure the dispersion of the set of the variables around their mean. These set of the variables are the variables that are being measured or analyzed. The presence of the Variance allows a statistician to draw some meaningful conclusion from the data. The advantage of Variance is that it treats all deviations from the mean as the same regardless of their direction.

How to Calculate Variance of Sum of Independent Random Variables?

Variance of Sum of Independent Random Variables calculator uses Variance of Sum of Independent Random Variables = Variance of Random Variable X+Variance of Random Variable Y to calculate the Variance of Sum of Independent Random Variables, Variance of Sum of Independent Random Variables formula is defined as the variance calculated when two or more independent random variables are added together. Variance of Sum of Independent Random Variables is denoted by σ²Sum symbol.

How to calculate Variance of Sum of Independent Random Variables using this online calculator? To use this online calculator for Variance of Sum of Independent Random Variables, enter Variance of Random Variable X (σ²Random X) & Variance of Random Variable Y (σ²Random Y) and hit the calculate button. Here is how the Variance of Sum of Independent Random Variables calculation can be explained with given input values -> 25 = 9+16.

FAQ

What is Variance of Sum of Independent Random Variables?

Variance of Sum of Independent Random Variables formula is defined as the variance calculated when two or more independent random variables are added together and is represented as σ²Sum = σ²Random X+σ²Random Y or Variance of Sum of Independent Random Variables = Variance of Random Variable X+Variance of Random Variable Y. Variance of Random Variable X is the measure of variability or dispersion of random variable X & Variance of Random Variable Y is the measure of variability or dispersion of random variable Y.

How to calculate Variance of Sum of Independent Random Variables?

Variance of Sum of Independent Random Variables formula is defined as the variance calculated when two or more independent random variables are added together is calculated using Variance of Sum of Independent Random Variables = Variance of Random Variable X+Variance of Random Variable Y. To calculate Variance of Sum of Independent Random Variables, you need Variance of Random Variable X (σ²Random X) & Variance of Random Variable Y (σ²Random Y). With our tool, you need to enter the respective value for Variance of Random Variable X & Variance of Random Variable Y and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search